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Volumn 80, Issue 2, 2003, Pages 201-215

Inequalities for means in two variables

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EID: 0038697450     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-003-0456-2     Document Type: Article
Times cited : (84)

References (37)
  • 1
    • 0010215151 scopus 로고    scopus 로고
    • On the arithmetic and logarithmic means with applications to Stirling's formula
    • G. ALLASIA, C. GIORDANO and J. PEČARIĆ, On the arithmetic and logarithmic means with applications to Stirling's formula. Atti Sem. Mat. Fis. Univ. Modena 47, 441-455 (1999).
    • (1999) Atti Sem. Mat. Fis. Univ. Modena , vol.47 , pp. 441-455
    • Allasia, G.1    Giordano, C.2    Pečarić, J.3
  • 3
    • 0002386253 scopus 로고
    • Ungleichungen für mittelwerte
    • H. ALZER, Ungleichungen für Mittelwerte. Arch. Math. 47, 422-426 (1986).
    • (1986) Arch. Math. , vol.47 , pp. 422-426
    • Alzer, H.1
  • 6
    • 0013479207 scopus 로고
    • The geometric, logarithmic, and arithmetic mean inequality
    • F. BURK, The geometric, logarithmic, and arithmetic mean inequality. Amer. Math. Monthly 94, 527-528 (1987).
    • (1987) Amer. Math. Monthly , vol.94 , pp. 527-528
    • Burk, F.1
  • 7
    • 0001583559 scopus 로고
    • Algorithms involving arithmetic and geometric means
    • B. C. CARLSON, Algorithms involving arithmetic and geometric means. Amer. Math. Monthly 78,496-505 (1971).
    • (1971) Amer. Math. Monthly , vol.78 , pp. 496-505
    • Carlson, B.C.1
  • 8
    • 0000648833 scopus 로고
    • The logarithmic mean
    • B. C. CARLSON, The logarithmic mean. Amer. Math. Monthly 79, 615-618 (1972).
    • (1972) Amer. Math. Monthly , vol.79 , pp. 615-618
    • Carlson, B.C.1
  • 9
    • 0038091897 scopus 로고
    • Total positivity of mean values and hypergeometric functions
    • B.C. CARLSON and J. L. GUSTAFSON, Total positivity of mean values and hypergeometric functions. SIAM J. Math. Anal. 14, 389-395 (1983).
    • (1983) SIAM J. Math. Anal. , vol.14 , pp. 389-395
    • Carlson, B.C.1    Gustafson, J.L.2
  • 10
    • 21344466177 scopus 로고    scopus 로고
    • Functional equations involving the logarithmic mean
    • P. KAHLIG and J. MATKOWSKI, Functional equations involving the logarithmic mean. Z. Angew. Math. Mech. 76, 385-390 (1996).
    • (1996) Z. Angew. Math. Mech. , vol.76 , pp. 385-390
    • Kahlig, P.1    Matkowski, J.2
  • 13
    • 0001416372 scopus 로고
    • Multi-variable extended mean values
    • E. B. LEACH and M. C. SHOLANDER, Multi-variable extended mean values. J. Math. Anal. Appl. 104, 390-407 (1984).
    • (1984) J. Math. Anal. Appl. , vol.104 , pp. 390-407
    • Leach, E.B.1    Sholander, M.C.2
  • 14
    • 0001280842 scopus 로고
    • The power mean and the logarithmic mean
    • T. P. LIN, The power mean and the logarithmic mean. Amer. Math. Monthly 81, 879-883 (1974).
    • (1974) Amer. Math. Monthly , vol.81 , pp. 879-883
    • Lin, T.P.1
  • 15
    • 0038430580 scopus 로고    scopus 로고
    • A reverse Holder type inequality for the logarithmic mean and generalizations
    • J. MALONEY, J. HEIDEL and J. PEČARIĆ, A reverse Holder type inequality for the logarithmic mean and generalizations. J. Austral. Math. Soc. Ser. B 41, 401-409 (2000).
    • (2000) J. Austral. Math. Soc. Ser. B , vol.41 , pp. 401-409
    • Maloney, J.1    Heidel, J.2    Pečarić, J.3
  • 18
    • 0002922473 scopus 로고
    • The logarithmic mean in n variables
    • A. O. PITTENGER, The logarithmic mean in n variables. Amer. Math. Monthly 92, 99-104 (1985).
    • (1985) Amer. Math. Monthly , vol.92 , pp. 99-104
    • Pittenger, A.O.1
  • 21
    • 34249953171 scopus 로고
    • On the identric and logarithmic means
    • J. SÁNDOR, On the identric and logarithmic means. Aequat. Math. 40, 261-270 (1990).
    • (1990) Aequat. Math. , vol.40 , pp. 261-270
    • Sándor, J.1
  • 22
    • 0000690607 scopus 로고
    • A note on some inequalities for means
    • J. SÁNDOR, A note on some inequalities for means. Arch. Math. 56, 471-473 (1991).
    • (1991) Arch. Math. , vol.56 , pp. 471-473
    • Sándor, J.1
  • 24
    • 0001275093 scopus 로고
    • On certain inequalities for means
    • J. SÁNDOR, On certain inequalities for means. J. Math. Anal. Appl. 189, 602-606 (1995).
    • (1995) J. Math. Anal. Appl. , vol.189 , pp. 602-606
    • Sándor, J.1
  • 25
    • 0010106347 scopus 로고
    • On refinements of certain inequalities for means
    • J. SÁNDOR, On refinements of certain inequalities for means. Arch. Math. (Brno) 31, 279-282 (1995).
    • (1995) Arch. Math. (Brno) , vol.31 , pp. 279-282
    • Sándor, J.1
  • 27
    • 0001625661 scopus 로고    scopus 로고
    • On certain inequalities for means II
    • J. SÁNDOR, On certain inequalities for means II. J. Math. Anal. Appl. 199, 629-635 (1996).
    • (1996) J. Math. Anal. Appl. , vol.199 , pp. 629-635
    • Sándor, J.1
  • 28
    • 0035530671 scopus 로고    scopus 로고
    • On certain inequalities for means III
    • J. SÁNDOR, On certain inequalities for means III. Arch. Math. 76, 34-40 (2001).
    • (2001) Arch. Math. , vol.76 , pp. 34-40
    • Sándor, J.1
  • 29
    • 0034664296 scopus 로고    scopus 로고
    • On certain inequalities involving the constant e and their applications
    • J. SÁNDOR and L. DEBNATH, On certain inequalities involving the constant e and their applications. J. Math. Anal. Appl. 249, 569-582 (2000).
    • (2000) J. Math. Anal. Appl. , vol.249 , pp. 569-582
    • Sándor, J.1    Debnath, L.2
  • 30
    • 4243369125 scopus 로고    scopus 로고
    • Inequalities for certain means in two arguments
    • I. SÁNDOR and I. RAŞA, Inequalities for certain means in two arguments. Nieuw Arch. Wisk. 15, 51-55 (1997).
    • (1997) Nieuw Arch. Wisk. , vol.15 , pp. 51-55
    • Sándor, I.1    Raşa, I.2
  • 32
    • 4243369126 scopus 로고    scopus 로고
    • Some new inequalities for means of two arguments
    • J. SÁNDOR and T. TRIF, Some new inequalities for means of two arguments. Internat. J. Math. Math. Sci. 25, 525-532 (2001).
    • (2001) Internat. J. Math. Math. Sci. , vol.25 , pp. 525-532
    • Sándor, J.1    Trif, T.2
  • 33
    • 0000861963 scopus 로고
    • Ungleichungen für einen bestimmten mittelwert
    • H. -J. SEIFFERT, Ungleichungen für einen bestimmten Mittelwert. Nieuw Arch. Wisk. 13, 195-198 (1995).
    • (1995) Nieuw Arch. Wisk. , vol.13 , pp. 195-198
    • Seiffert, H.-J.1
  • 34
    • 0038768565 scopus 로고
    • Ungleichungen für elementare mittelwerte
    • H. -J. SEIFFERT, Ungleichungen für elementare Mittelwerte. Arch. Math. 64, 129-131 (1995).
    • (1995) Arch. Math. , vol.64 , pp. 129-131
    • Seiffert, H.-J.1
  • 35
    • 0002603040 scopus 로고
    • Generalizations of the logarithmic mean
    • K. B. STOLARSKY, Generalizations of the logarithmic mean. Math. Mag. 48, 87-92 (1975).
    • (1975) Math. Mag. , vol.48 , pp. 87-92
    • Stolarsky, K.B.1
  • 36
    • 0000016560 scopus 로고
    • The power and generalized logarithmic means
    • K. B. STOLARSKY, The power and generalized logarithmic means. Amer. Math. Monthly 87, 545-548 (1980).
    • (1980) Amer. Math. Monthly , vol.87 , pp. 545-548
    • Stolarsky, K.B.1


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